4.4 Combining Operations with Linear Expressions

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Combine Operations with Linear Expressions

Content Objective
Students will combine operations to simplify linear
expressions.

Math Response

Warm up:

Simplify $$3x+5+4x-7$$

Type answer here

Correct Answer: 7x-2

Deg^°

Rad

Math Response

Warm up:

Simplify $$4\left(2x-3\right)$$

Type answer here

Correct Answer: 8x-12

Deg^°

Rad

​Use the order operations when simplifying expressions.

​I do:

​We do:

​We do:

Multiple Choice

Simplify the following expression:
$$-7x+5(1-8x)$$

• -33x + 5

• 5 + 33x

• 47x + 5

• 5 - 47x

Math Response

You do:

Distribute and then Combine Like Terms:

$$-3(4x+2)+5x$$

Type answer here

Correct Answer: -7x-6

Deg^°

Rad

Math Response

Type answer here

Correct Answer: 10x+\frac{5}{48}

Deg^°

Rad

Math Response

Type answer here

Correct Answer: \frac{5}{16}x+6

Deg^°

Rad

Math Response

You do:

$$4x+\frac{4}{5}(10x-\frac{1}{3})$$

Type answer here

Correct Answer: 12x-\frac{4}{15}

Deg^°

Rad

Multiple Choice

Simplify  3(1 - 2x) + 7

• 21 - 6x

• 24 + 6x

• 10 + 6x

• 10 - 6x

Multiple Choice

Simplify the following expression:

9x + 5(x + 3)

• 9x + 15

• 45x + 27

• 14x + 42

• 14x + 15

Multiple Choice

Simplify the following expression:

2x + 3(x + 3)

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Features

• −5x + 9

• 5x + 9

• 5x + (−9)

• −5x +(−9)

Multiple Choice

Simplify: 3(9 + 2d) + 4d

• 3(9 + 2d) + 4d

• 27 + 6d + 4d

• 27 + 10d

• 27 - 10d

Multiple Choice

Use distribution to simplify the expression.

2/3 (6x - 9)

• 4x - 6

• -4x + 6

• -6 - 4x

• 2/3

Multiple Choice

Simplify(Use the distributive property) & Combine like terms

Simplifica(Usa la propiedad distributiva y combina los terminos)

$$-8\left(x-2\right)+4x+1$$  

• -12x-1

• 13

• -4x+17

• -8x+21

Multiple Choice

Find the difference (2x + 5) − (x + 4).

• x + 1

• 3x + 9

• −x + 1

• x + 9

Multiple Choice

(7a + 4) - (9a + 2)
^{(its subtraction not addition)}

• -2a + 6

• 16a + 6

• -2a + 2

• 2a + 2

Multiple Choice

5(x-4) + (2x-7)

• 3x - 28

• 5x + 2x -27

• 7x² + 11

• 7x -27

Multiple Choice

Find the difference: 
(x - 3) - 2(0.5x - 2) 

• -1

• 2x - 1 

• 2x + 1

• 1

Multiple Choice

2(2x + 3) + 3(4x + 5)

• 6x + 8

• 16x + 21

• 56x + 8

• 16x + 8

Multiple Choice

2(2x + 4) - (6x - 9)

• -2x + 1

• 10x + 17

• -2x + 17